NFL Data Report

Dataset statistics

Number of variables	11
Number of observations	6829
Missing cells	9942
Missing cells (%)	13.2%
Duplicate rows	1
Duplicate rows (%)	< 0.1%
Total size in memory	587.0 KiB
Average record size in memory	88.0 B

Variable types

NUM	8
CAT	2
BOOL	1

Warnings

Dataset has 1 (< 0.1%) duplicate rows	Duplicates
`Player` has a high cardinality: 6809 distinct values	High cardinality
`Forty` has 172 (2.5%) missing values	Missing
`Vertical` has 1568 (23.0%) missing values	Missing
`BenchReps` has 2198 (32.2%) missing values	Missing
`BroadJump` has 1622 (23.8%) missing values	Missing
`Cone` has 2226 (32.6%) missing values	Missing
`Shuttle` has 2156 (31.6%) missing values	Missing
`Player` is uniformly distributed	Uniform

Reproduction

Analysis started	2021-01-05 10:33:09.226032
Analysis finished	2021-01-05 10:33:26.020518
Duration	16.79 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

Player
Categorical

HIGH CARDINALITY
UNIFORM

Distinct	6809
Distinct (%)	99.7%
Missing	0
Missing (%)	0.0%
Memory size	53.4 KiB

Kyle Murphy	2
Mike Bell	2
Brandon Jones	2
Josh Allen	2
Stanford Samuels	2
Other values (6804)	6819

Frequencies
Length

Common Values
Overview

Value	Count	Frequency (%)
Kyle Murphy	2	< 0.1%
Mike Bell	2	< 0.1%
Brandon Jones	2	< 0.1%
Josh Allen	2	< 0.1%
Stanford Samuels	2	< 0.1%
Nate Davis	2	< 0.1%
Zach Allen	2	< 0.1%
Daniel Thomas	2	< 0.1%
Josh Jones	2	< 0.1%
Nick Harris	2	< 0.1%
Other values (6799)	6809	99.7%

Frequencies of value counts

Unique

Unique	6789 ?
Unique (%)	99.4%

Histogram of lengths of the category

Length

Max length	27
Median length	13
Mean length	12.87787377
Min length	7

Pos
Categorical

Distinct	27
Distinct (%)	0.4%
Missing	0
Missing (%)	0.0%
Memory size	53.4 KiB

WR	942
CB	694
RB	597
DE	500
DT	480
Other values (22)	3616

Frequencies
Length

Common Values
Overview

Value	Count	Frequency (%)
WR	942	13.8%
CB	694	10.2%
RB	597	8.7%
DE	500	7.3%
DT	480	7.0%
OT	468	6.9%
OLB	424	6.2%
QB	384	5.6%
TE	378	5.5%
OG	377	5.5%
Other values (17)	1585	23.2%

Frequencies of value counts

Unique

Unique	0 ?
Unique (%)	0.0%

Histogram of lengths of the category

Length

Max length	4
Median length	2
Mean length	2.040415873
Min length	1

Ht
Real number (ℝ_≥0)

Distinct	18
Distinct (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	73.81461415
Minimum	65
Maximum	82
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	65
5-th percentile	69
Q1	72
median	74
Q3	76
95-th percentile	78
Maximum	82
Range	17
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	2.616508961
Coefficient of variation (CV)	0.03544703161
Kurtosis	-0.4595497277
Mean	73.81461415
Median Absolute Deviation (MAD)	2
Skewness	-0.1539230461
Sum	504080
Variance	6.846119143
Monotocity	Not monotonic

Histogram with fixed size bins (bins=18)

Value	Count	Frequency (%)
75	972	14.2%
74	899	13.2%
76	859	12.6%
73	839	12.3%
72	777	11.4%
77	620	9.1%
71	603	8.8%
70	431	6.3%
78	299	4.4%
69	239	3.5%
Other values (8)	291	4.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
65	1	< 0.1%
66	10	0.1%
67	33	0.5%
68	78	1.1%
69	239	3.5%

Value	Count	Frequency (%)
82	2	< 0.1%
81	4	0.1%
80	38	0.6%
79	125	1.8%
78	299	4.4%

Wt
Real number (ℝ_≥0)

Distinct	206
Distinct (%)	3.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	242.9799385
Minimum	149
Maximum	375
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	149
5-th percentile	186
Q1	206
median	233
Q3	279
95-th percentile	320
Maximum	375
Range	226
Interquartile range (IQR)	73

Descriptive statistics

Standard deviation	44.9607657
Coefficient of variation (CV)	0.1850390036
Kurtosis	-0.9096455909
Mean	242.9799385
Median Absolute Deviation (MAD)	31
Skewness	0.5230421595
Sum	1659310
Variance	2021.470453
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
211	93	1.4%
205	89	1.3%
210	87	1.3%
204	86	1.3%
195	83	1.2%
213	83	1.2%
209	81	1.2%
193	81	1.2%
197	80	1.2%
202	79	1.2%
Other values (196)	5987	87.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
149	1	< 0.1%
155	1	< 0.1%
156	1	< 0.1%
160	2	< 0.1%
163	1	< 0.1%

Value	Count	Frequency (%)
375	1	< 0.1%
370	1	< 0.1%
369	2	< 0.1%
366	1	< 0.1%
364	1	< 0.1%

Forty
Real number (ℝ_≥0)

MISSING

Distinct	160
Distinct (%)	2.4%
Missing	172
Missing (%)	2.5%
Infinite	0
Infinite (%)	0.0%

Mean	4.882804567
Minimum	4.22
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	4.22
5-th percentile	4.41
Q1	4.54
median	4.71
Q3	5
95-th percentile	5.42
Maximum	9.99
Range	5.77
Interquartile range (IQR)	0.46

Descriptive statistics

Standard deviation	0.7860884918
Coefficient of variation (CV)	0.1609911847
Kurtosis	32.41987587
Mean	4.882804567
Median Absolute Deviation (MAD)	0.2
Skewness	5.424068315
Sum	32504.83
Variance	0.617935117
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.5	149	2.2%
4.56	136	2.0%
4.65	135	2.0%
9.99	132	1.9%
4.62	132	1.9%
4.58	124	1.8%
4.52	122	1.8%
4.59	122	1.8%
4.53	121	1.8%
4.6	112	1.6%
Other values (150)	5372	78.7%
(Missing)	172	2.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
4.22	2	< 0.1%
4.24	1	< 0.1%
4.26	1	< 0.1%
4.27	3	< 0.1%
4.28	5	0.1%

Value	Count	Frequency (%)
9.99	132	1.9%
6.05	1	< 0.1%
6	1	< 0.1%
5.99	1	< 0.1%
5.86	1	< 0.1%

Vertical
Real number (ℝ_≥0)

MISSING

Distinct	56
Distinct (%)	1.1%
Missing	1568
Missing (%)	23.0%
Infinite	0
Infinite (%)	0.0%

Mean	32.88718875
Minimum	17.5
Maximum	46
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	17.5
5-th percentile	25.5
Q1	30
median	33
Q3	36
95-th percentile	39.5
Maximum	46
Range	28.5
Interquartile range (IQR)	6

Descriptive statistics

Standard deviation	4.200382395
Coefficient of variation (CV)	0.1277209319
Kurtosis	-0.1671683509
Mean	32.88718875
Median Absolute Deviation (MAD)	3
Skewness	-0.2014995711
Sum	173019.5
Variance	17.64321227
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
33	275	4.0%
34	260	3.8%
33.5	256	3.7%
35.5	247	3.6%
35	239	3.5%
34.5	237	3.5%
36	233	3.4%
32.5	233	3.4%
32	220	3.2%
31	194	2.8%
Other values (46)	2867	42.0%
(Missing)	1568	23.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
17.5	1	< 0.1%
19	1	< 0.1%
19.5	3	< 0.1%
20	1	< 0.1%
20.5	7	0.1%

Value	Count	Frequency (%)
46	1	< 0.1%
45.5	1	< 0.1%
45	4	0.1%
44.5	2	< 0.1%
44	3	< 0.1%

BenchReps
Real number (ℝ_≥0)

MISSING

Distinct	45
Distinct (%)	1.0%
Missing	2198
Missing (%)	32.2%
Infinite	0
Infinite (%)	0.0%

Mean	20.83092205
Minimum	2
Maximum	49
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	2
5-th percentile	11
Q1	16
median	21
Q3	25
95-th percentile	32
Maximum	49
Range	47
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	6.360797387
Coefficient of variation (CV)	0.3053536168
Kurtosis	0.09056084225
Mean	20.83092205
Median Absolute Deviation (MAD)	4
Skewness	0.2611579457
Sum	96468
Variance	40.4597434
Monotocity	Not monotonic

Histogram with fixed size bins (bins=45)

Value	Count	Frequency (%)
19	289	4.2%
21	282	4.1%
23	279	4.1%
20	267	3.9%
24	265	3.9%
22	265	3.9%
17	256	3.7%
18	253	3.7%
15	243	3.6%
25	221	3.2%
Other values (35)	2011	29.4%
(Missing)	2198	32.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2	1	< 0.1%
3	2	< 0.1%
4	5	0.1%
5	5	0.1%
6	10	0.1%

Value	Count	Frequency (%)
49	1	< 0.1%
45	3	< 0.1%
44	4	0.1%
43	1	< 0.1%
42	4	0.1%

BroadJump
Real number (ℝ_≥0)

MISSING

Distinct	62
Distinct (%)	1.2%
Missing	1622
Missing (%)	23.8%
Infinite	0
Infinite (%)	0.0%

Mean	114.3312848
Minimum	74
Maximum	147
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	74
5-th percentile	97
Q1	109
median	115
Q3	121
95-th percentile	128
Maximum	147
Range	73
Interquartile range (IQR)	12

Descriptive statistics

Standard deviation	9.319730821
Coefficient of variation (CV)	0.08151514117
Kurtosis	9.770462802e-05
Mean	114.3312848
Median Absolute Deviation (MAD)	6
Skewness	-0.4152172561
Sum	595323
Variance	86.85738258
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
120	278	4.1%
118	252	3.7%
117	235	3.4%
116	234	3.4%
115	234	3.4%
121	232	3.4%
119	210	3.1%
113	210	3.1%
114	197	2.9%
112	191	2.8%
Other values (52)	2934	43.0%
(Missing)	1622	23.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
74	1	< 0.1%
78	1	< 0.1%
82	2	< 0.1%
84	1	< 0.1%
85	4	0.1%

Value	Count	Frequency (%)
147	1	< 0.1%
141	3	< 0.1%
140	1	< 0.1%
139	3	< 0.1%
138	3	< 0.1%

Cone
Real number (ℝ_≥0)

MISSING

Distinct	294
Distinct (%)	6.4%
Missing	2226
Missing (%)	32.6%
Infinite	0
Infinite (%)	0.0%

Mean	7.351562025
Minimum	3.97
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	3.97
5-th percentile	6.63
Q1	6.96
median	7.2
Q3	7.63
95-th percentile	9.99
Maximum	9.99
Range	6.02
Interquartile range (IQR)	0.67

Descriptive statistics

Standard deviation	0.9622254
Coefficient of variation (CV)	0.1308872042
Kurtosis	4.116245971
Mean	7.351562025
Median Absolute Deviation (MAD)	0.3
Skewness	0.244573942
Sum	33839.24
Variance	0.9258777203
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.99	292	4.3%
7.09	76	1.1%
7.07	75	1.1%
7	67	1.0%
7.08	66	1.0%
6.9	63	0.9%
7.12	59	0.9%
7.15	58	0.8%
6.94	54	0.8%
6.96	54	0.8%
Other values (284)	3739	54.8%
(Missing)	2226	32.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.97	1	< 0.1%
3.99	1	< 0.1%
4.01	1	< 0.1%
4.03	2	< 0.1%
4.04	1	< 0.1%

Value	Count	Frequency (%)
9.99	292	4.3%
9.12	1	< 0.1%
9.04	1	< 0.1%
9	1	< 0.1%
8.84	1	< 0.1%

Shuttle
Real number (ℝ_≥0)

MISSING

Distinct	236
Distinct (%)	5.1%
Missing	2156
Missing (%)	31.6%
Infinite	0
Infinite (%)	0.0%

Mean	4.839659747
Minimum	3.73
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.4 KiB

Quantile statistics

Minimum	3.73
5-th percentile	4.04
Q1	4.21
median	4.39
Q3	4.67
95-th percentile	9.99
Maximum	9.99
Range	6.26
Interquartile range (IQR)	0.46

Descriptive statistics

Standard deviation	1.451087154
Coefficient of variation (CV)	0.2998324738
Kurtosis	7.270869814
Mean	4.839659747
Median Absolute Deviation (MAD)	0.21
Skewness	2.914848806
Sum	22615.73
Variance	2.10565393
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.99	293	4.3%
4.4	105	1.5%
4.28	101	1.5%
4.21	94	1.4%
4.2	92	1.3%
4.15	84	1.2%
4.25	84	1.2%
4.18	82	1.2%
4.32	81	1.2%
4.07	77	1.1%
Other values (226)	3580	52.4%
(Missing)	2156	31.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.73	1	< 0.1%
3.75	1	< 0.1%
3.78	1	< 0.1%
3.8	1	< 0.1%
3.81	2	< 0.1%

Value	Count	Frequency (%)
9.99	293	4.3%
8.28	1	< 0.1%
8.15	1	< 0.1%
8.13	1	< 0.1%
8.06	1	< 0.1%

pro bowl?
Boolean

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	53.4 KiB

0	6249
1	580

Common Values
Chart

Value	Count	Frequency (%)
0	6249	91.5%
1	580	8.5%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

First rows

	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle	pro bowl?
0	John Abraham	OLB	76	252	4.55	NaN	NaN	NaN	NaN	NaN	1
1	Shaun Alexander	RB	72	218	4.58	NaN	NaN	NaN	NaN	NaN	1
2	Darnell Alford	OT	76	334	5.56	25.0	23.0	94.0	8.48	4.98	0
3	Kyle Allamon	TE	74	253	4.97	29.0	NaN	104.0	7.29	4.49	0
4	Rashard Anderson	CB	74	206	4.55	34.0	NaN	123.0	7.18	4.15	0
5	Jake Arians	K	70	202	NaN	NaN	NaN	NaN	NaN	NaN	0
6	LaVar Arrington	OLB	75	250	4.53	NaN	NaN	NaN	NaN	NaN	1
7	Corey Atkins	OLB	72	237	4.72	31.0	21.0	112.0	7.96	4.39	0
8	Kyle Atteberry	K	72	167	NaN	NaN	NaN	NaN	NaN	NaN	0
9	Reggie Austin	CB	69	175	4.44	35.0	17.0	119.0	7.03	4.14	0

Last rows

	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle	pro bowl?
6819	Rob Windsor	DL	76	285	4.90	28.5	21.0	111.0	7.47	4.44	0
6820	Antoine Winfield	S	70	205	4.45	36.0	NaN	124.0	9.99	9.99	1
6821	Tristan Wirfs	OL	77	322	4.85	36.5	24.0	121.0	7.65	4.68	0
6822	Steven Wirtel	LS	76	227	4.76	26.0	NaN	120.0	7.12	4.28	0
6823	Charlie Woerner	TE	77	245	4.78	34.5	21.0	120.0	7.18	4.46	0
6824	D.J. Wonnum	DL	77	254	4.73	34.5	20.0	123.0	7.25	4.44	0
6825	Dom Wood-Anderson	TE	76	257	4.92	35.0	NaN	119.0	9.99	9.99	0
6826	David Woodward	LB	74	235	4.79	33.5	16.0	114.0	7.34	4.37	0
6827	Chase Young	DL	77	265	9.99	NaN	NaN	NaN	9.99	9.99	1
6828	Jabari Zuniga	DL	75	253	4.64	33.0	29.0	127.0	9.99	9.99	0

Most frequent

	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle	pro bowl?	count
0	Yetur Gross-Matos	DL	77	264	9.99	34.0	20.0	120.0	9.99	9.99	0	2

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows

Duplicate rows

Most frequent